|
|
|
|
|
|
|
|
|
Here we generalize our techniques from 2x2 systems to 3x3 systems.
|
|
|
|
|
|
|
|
|
|
|
|
Here we use a 2x2 linear system to show how matrices can be used to streamline the elimination technique.
|
|
Here we talk about two operations: union and intersection. These are ways of combining sets to make new sets.
|
|
Here we discuss universal sets, or universes, and explain what it means to take a complement of a set with respect to a given universe.
|
|
Here we discuss what it means for a set to be empty. We give several examples of empty sets, and make an argument for why we should think of them all as THE Empty Set.
|
|
Here we present the idea of subsets. Several examples are given.
|
|
Here we give the definition of a set, and give some examples.
|
|
Here we finish the warehouse example, by investigating the values of the objective function.
|
|
Here we continue the example from the previous video.
|
|
Here we introduce the idea of Linear Programming, and begin an example.
|
|
Here we work through a word problem about buying tables for a cafeteria. This problem is similar to [4.4, Example 4, pages 244-245] in your textbook, so please take a look and compare. Here is the…
|
|
Here we continue the example from pt1. This time we use the addition method to verify the coordinates of the last point of the triangle.
|
|
Here we graph a system of three inequalities. We also do some algebra to verify the coordinates of a certain point.
|
|
Here we introduce the idea of graphing systems of inequalities. A short example is given.
|
|
Here we discuss how to graph inequalities in two variables.
|
|
Here we introduce interval notation, and give several examples. We also discuss what happens when we take the intersection or the union of two intervals.
|